Q. What kind of sequence is this?3,5,8,13,…Choices:(A) arithmetic(B) geometric(C) both(D) neither
Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: 3,5,8,13,…Are the consecutive differences in the sequence equal? 5−3=2, 8−5=3, 13−8=5.The consecutive differences in the sequence are not equal.
Check Equal Ratios: Let's check whether the ratios between consecutive terms are equal. Given sequence: 3,5,8,13,…Are the ratios between consecutive terms in the sequence equal? 35≈1.67, 58=1.6, 813≈1.625.The sequence does not have a common ratio.
Sequence Type: Arithmetic sequence: Consecutive terms have a common difference.d. Geometric sequence: Consecutive terms have a common ratio.r. 3,5,8,13,… What type of sequence is this? The sequence has neither a common difference nor a common ratio. It's neither an arithmetic sequence nor a geometric sequence.
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